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Finding the Fourth Proportional to 3,560.86, 5,336.64 and 2,577

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Solution

The fourth proportional to 3,560.86, 5,336.64 and 2,577 is: 3,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.86 : 5,336.64 = 2,577 : x
  2. Step 2: Convert to fraction form
    3,560.86/5,336.64 = 2,577/x
  3. Step 3: Cross multiply
    3,560.86x = 5,336.64 × 2,577
  4. Step 4: Simplify right side
    3,560.86x = 13,752,521.28
  5. Step 5: Solve for x
    x = 13,752,521.28/3,560.86
  6. Step 6: Final answer
    x = 3,862.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.